Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format
We apply the tensor train (TT) decomposition to construct the tensor product polynomial
chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with …
chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with …
Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics
We consider a Euler system with dynamics generated by a potential energy functional. We
propose a form for the relative energy that exploits the variational structure and we derive a …
propose a form for the relative energy that exploits the variational structure and we derive a …
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations
S Tkachenko, S Gavrilyuk, J Massoni - Journal of Computational Physics, 2023 - Elsevier
In this paper we study two multidimensional nonlinear dispersive systems: the Serre-Green-
Naghdi (SGN) equations describing dispersive shallow water flows, and the Iordanskii …
Naghdi (SGN) equations describing dispersive shallow water flows, and the Iordanskii …
Numerical solution of Navier–Stokes–Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions
Compressible liquid–vapor flow with phase transitions can be described by systems of
Navier–Stokes–Korteweg type. They extend the Navier–Stokes equations by nonlinear …
Navier–Stokes–Korteweg type. They extend the Navier–Stokes equations by nonlinear …
Relaxation of the Navier–Stokes–Korteweg equations for compressible two‐phase flow with phase transition
Summary The Navier–Stokes–Korteweg (NSK) system is a classical diffuse‐interface model
for compressible two‐phase flow. However, the direct numerical simulation based on the …
for compressible two‐phase flow. However, the direct numerical simulation based on the …
Fully resolved compressible two-phase flow: modelling, analytical and numerical issues
C Rohde - New trends and results in mathematical description of …, 2018 - Springer
Mathematical models for compressible two-phase flow of homogeneous fluids that occur in a
liquid and a vapour phase can be classified as either belonging to the class of sharp …
liquid and a vapour phase can be classified as either belonging to the class of sharp …
[PDF][PDF] Analysis and numerics of sharp and diffuse interface models for droplet dynamics
The modelling of liquid–vapour flow with phase transition poses many challenges, both on
the theoretical level, as well as on the level of discretisation methods. Therefore, accurate …
the theoretical level, as well as on the level of discretisation methods. Therefore, accurate …
A relative entropy approach to convergence of a low order approximation to a nonlinear elasticity model with viscosity and capillarity
J Giesselmann - SIAM Journal on Mathematical Analysis, 2014 - SIAM
In this paper we study the dynamics of an elastic bar undergoing phase transitions. It is
modeled by two regularizations of the equations of nonlinear elastodynamics with a …
modeled by two regularizations of the equations of nonlinear elastodynamics with a …
A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow
We consider the two-phase dynamics of two incompressible and immiscible fluids. As a
mathematical model we rely on the Navier-Stokes-Cahn-Hilliard system that belongs to the …
mathematical model we rely on the Navier-Stokes-Cahn-Hilliard system that belongs to the …
Deep-ultraviolet optoelectronic devices enabled by the hybrid integration of next-generation semiconductors and emerging device platforms
N Alfaraj - 2019 - repository.kaust.edu.sa
In this dissertation, the design and fabrication of deep-ultraviolet photodetectors were
investigated based on gallium oxide and its alloys, through the heterogeneous integration …
investigated based on gallium oxide and its alloys, through the heterogeneous integration …